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Worksheets

Proportions Practice

Total questions: 144

Worksheet time: 12hrs 0mins

Name
Class
Date
1.
Which ratio below is proportional to the ratio  5/6?
a)
6/5
b)
50/75
c)
25/30
d)
12/10
2.
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
a)
2.5 cups milk
b)
1.75 cups milk
c)
2 cups flour
d)
2.25 cups milk
3.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
4.
Solve.
a)
4
b)
1
c)
16
d)
2
5.
Solve the proportion:
a)
3
b)
4
c)
9
d)
6
6.
Cross Multiply/Cross Products
a)
15
b)
420
c)
28
d)
16
7.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
8.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
9.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
10.
Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
11.
Use the table to write a proportion.
a)
2.08/16=d/8
b)
8/d=16/2.08
c)
2.08/16=8/d
d)
2.08/8=d/16
12.
Write a proportion to find how many points a student needs to score on a test in order to get the given percent:
The test is worth 12 points.
The test score is 75%.
a)
p/12=100/75
b)
p/100=12/75
c)
p/12=75/100
d)
p/75=12/100
13.
Write a proportion to find how many points a student needs to score on a test in order to get the given percent:
The test is worth 60 points.
The test score is 50%.
a)
p/100=50/60
b)
p/50=60/100
c)
p/60=100/50
d)
p/60=50/100
14.
Richard rowed a canoe for ½ hour and made it 3½ miles down the river.  What is his average speed in miles per hour?
a)
6mph
b)
6 1/2 miles per hour
c)
7 miles per hour
d)
1/4 miles per hour
15.
The girls soccer team finished the season with a record of 7 wins and 3 losses. What is the ratio of losses to wins?
a)
3:7
b)
7:3
c)
3:10
d)
7:10
16.

Write the equation for the table given

a)

y = 1/3x

b)

y = 3x

c)

y = 3

d)

x = 3y

17.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

y=14x

18.

Janet used 155 beads to create 5 necklaces. What is the constant of proportionality of beads per necklace

a)

31

b)

775

c)

160

d)

150

19.

Ben earns extra money as a painter. He earns $41 for 4 hours and $71.75 for 7 hours. What is the constant of proportionality of dollars per hour?

a)

$37

b)

$64.75

c)

$10.25

d)

$18.50

20.

What is the constant of proportionality?

a)

1

b)

2

c)

3

d)

4

21.
 Is this table proportional or non-proportional?
a)

Proportional because the COP is 14\frac{1}{4}  

b)

Non-Proportional because there is no COP

c)

Proportional because the COP is 4

d)

Non-Proportional because is does not go through the origin

22.
Does this graph represent a proportional relationship?  
a)
No, because it doesn't pass through the origin.
b)
Yes, because it doesn't pass through the origin.
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
23.

Is this table proportional?

a)

yes because it will go through the origin and is a straight line

b)

no because the C.O.P. for each line is different

c)

yes because it increases by 1

d)

no because there is no origin

24.

What is the constant of proportionality of money per hour?

a)

$3

b)

$4

c)

$2

d)

$9

25.
What is the equation for the graph?
a)
y=46x
b)
x=46y
c)
y=92x
d)
x=92y
26.
What does the point (2,4) represent?
a)
They get 2 cm of rain in 4 hours
b)
In 2 hours it rains 4 cm
c)
1/2 cm per hour
d)
1/2 hour per 1 cm of rain
27.

The distance a bicyclist travels is proportional with the number of hours. Using a proportion, solve for how long it will take to travel 228 miles

a)

19

b)

1.5833333

c)

57

d)

21.2

28.

Ramon travels 20 miles in 20 minutes, how many miles can he travel in 120 minutes?

a)

120 miles

b)

200 miles

c)

10 miles

d)

40 miles

29.
12 ounce shampoo bottle lasts Mike 16 weeks.  How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 weeks
b)
6 weeks
c)
30 weeks
d)
20 weeks
30.
About 13 out of 20 homes have a personal computer.  On a street with 60 homes, how many would you expect to have a personal computer?
a)
7 homes
b)
39 homes
c)
73 homes 
d)
40 homes
31.
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
a)
2.5 cups milk
b)
1.75 cups milk
c)
2 cups flour
d)
2.25 cups milk
32.
Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
33.
A shop produces 39 wetsuits every 2 weeks.  How long will it take the shop to produce 429 wetsuits?
a)
18 wk
b)
20 wk
c)
22 wk
d)
24 wk
34.
Natalie was planning a trip to Jordan. Before going, she did some research and learned that the exchange rate is $4 for 3 Dinars. How many Dinars would she get if she exchanged $56?
a)
37 Dinars
b)
42 Dinars
c)
33 Dinars
d)
75 Dinars
35.

The ratio of boys to girls is 3 to 2. If there are 12 boys, how many girls are there?

a)

2

b)

4

c)

6

d)

8

36.

It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?

a)

3

b)

6

c)

9

d)

12

37.

At a recent party, it cost $9.50 for refreshments for 10 guests. At this rate, how much would it cost to have refreshments for 80 guests?

a)

$760

b)

$76

c)

7600

d)

$76000

38.

Mary had saved $17.50 in the past 3 weeks. At this rate, how much will she save in 15 weeks?

a)

67.50

b)

40.00

c)

87.50

d)

nothing

39.

The park ranger stocks the children's fishing pond keeping a ratio of 4 sunfish to 3 perch. If he puts 300 sunfish into the pond, how many perch should be put into the pond?

a)

400

b)

425

c)

225

d)

525

40.
Of the 50 fish John caught from the lake, 14 were trout.  The estimated population of the lake is 7,500.  About how many trout would you expect to be in the lake?
a)
2,100 trout
b)
2,000 trout
c)
2,200 trout
d)
2,300 trout
41.

A grading machine can grade 48 multiple-choice tests in 1 minute. How log will it take the machine to grade 288 tests?

a)

6 minutes

b)

6.25 minutes

c)

5.25 minutes

d)

5 minutes

42.

The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 1,200 people are in line?

a)

120 min

b)

140 min

c)

160 min

d)

180 min

43.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

44.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

45.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
46.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
47.
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
48.
2 apples cost $20. What will 5 Apples cost? 
a)
28
b)
45
c)
50
d)
39
49.



(a)  

50.

2x20 = 24\frac{2x}{20\ }=\ \frac{2}{4}  

a)

x= 20

b)

x= 4

c)

x= 5

d)

x = 2

51.
If there are 6 red cars sold to every 3 blue cars, is it the same proportion as 2 red cars to every 1 blue car? 
a)
Yes
b)
No
52.
What is a proportion?
a)
When two ratios can be simplified
b)
When two ratios are equivalent and show the same value
c)
When two ratios have the exact same numbers
d)
When two ratios can be multiplied by 2
53.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
54.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
55.
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
56.
12 ounce shampoo bottle lasts Mike 16 weeks.  How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 weeks
b)
6 weeks
c)
30 weeks
d)
20 weeks
57.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
58.
At the same time a 6 foot person casts a 2 foot shadow, a nearby flagpole casts a ten foot shadow.  How tall is the flagpole?
a)
3 feet
b)
10 feet
c)
16 feet
d)
30 feet
59.

Solve for x 

(a)  

60.

If a car travels 280 miles in 7 hours, how far will it travel in 12 hours?

a)

480 miles

b)

1,960 miles

c)

84 miles

d)

25 miles

61.
A shop produces 39 wetsuits every 2 weeks.  How long will it take the shop to produce 429 wetsuits?
a)
18 wk
b)
20 wk
c)
22 wk
d)
24 wk
62.

Solve:

96m=167\frac{96}{m}=\frac{16}{7}  

(a)  

63.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
64.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
65.
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
66.
12 ounce shampoo bottle lasts Mike 16 weeks.  How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 weeks
b)
6 weeks
c)
30 weeks
d)
20 weeks
67.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
68.
At the same time a 6 foot person casts a 2 foot shadow, a nearby flagpole casts a ten foot shadow.  How tall is the flagpole?
a)
3 feet
b)
10 feet
c)
16 feet
d)
30 feet
69.

Solve for x 

(a)  

70.

If a car travels 280 miles in 7 hours, how far will it travel in 12 hours?

a)

480 miles

b)

1,960 miles

c)

84 miles

d)

25 miles

71.
A shop produces 39 wetsuits every 2 weeks.  How long will it take the shop to produce 429 wetsuits?
a)
18 wk
b)
20 wk
c)
22 wk
d)
24 wk
72.

Solve:

96m=167\frac{96}{m}=\frac{16}{7}  

(a)  

73.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

74.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

75.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
76.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
77.
Solve for a
a)
29/12
b)
41/12
c)
107/12
d)
13
78.
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
79.
The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?
a)
480
b)
1960
c)
84
d)
25
80.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
81.
Find the unit rate of 624 calories in 3 servings.
a)
1,872 calories per serving
b)
208 calories per serving
c)
624 calories per serving
d)
621 calories per serving
82.
What is the constant of proportionality for this table?
a)
1/9
b)
9
c)
8
83.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
84.
What makes a graph proportional?
a)
Linear
b)
The line is only in quadrant 1
c)
Curvy line
d)
Linear and the line goes through the origin
85.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
86.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
87.
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  What is the constant of proportionality (how much did he make per hour)?
a)
$37
b)
$64.75
c)
$9.25
d)
$18.50
88.
2 apples cost $20. What will 5 Apples cost? 
a)
28
b)
45
c)
50
d)
39
89.

Does the equation x/y = 3 form a proportional relationship?

a)

Yes, because k = 3

b)

Yes, because k = 1/3

c)

No, because it does not form a line.

d)

No, because k is more than one value.

90.

Does the equation x - 5 = y form a proportion?

a)

Yes, because k = -5

b)

Yes, because it forms a line

c)

No, because the lines does not pass through the origin.

d)

No, because the line passes through the origin.

91.

Write and solve a proportion for this scenario.

If Shane can bake 120 dozen cookies in five days, how many days would it take to bake 800 dozen cookies?

a)

about 34 days

b)

about 30 days

c)

about 12 days

d)

about 7 days

92.

Write and solve a proportion for this scenario.

Marin can write 4 pages of her novel in 22 minutes. If she keeps that pace, how long would it take to write 200 pages?

a)

1100 minutes

b)

36 minutes

c)

1192 minutes

d)

898 minutes

93.

Hunter buys 36 baseball cards for $18. How many baseball cards can Troy buy if he has $9?

a)

18 baseball cards

b)

4 baseball cards

c)

24 baseball cards

d)

16 baseball cards

94.

Mrs. Sparks has been craving smoothies lately. She buys a 20oz chocolate smoothie for $7. Mrs. Jones also buys a 17oz chocolate smoothie. How much is Mrs. Jones smoothie?

a)

$5.95

b)

$6

c)

8.24

95.

Ms. Hensley's family owns a green bean farm. If Ms. Hensley can grow 225 bushels in 3 acres, how many bushels can she grow in 9.6 acres?

a)

720 bushels

b)

675 bushels

c)

75 bushels

96.

Finley and Cooper are wanting to go to Skyzone. Finley pays $53.75 for 5 hours. How much will Cooper pay for 3 hours?

a)

$32.25

b)

$89.53

c)

26.88

97.

Ms. Bolling really loves double chocolate chip cookies. She can buy 1 box for $21. What would her cost be for 28 boxes of cookies?

a)

$600

b)

$588

c)

$554

d)

$500

98.
About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many computers would you expect to have?
a)
39 Computers
b)
4.3 Homes
c)
39 Homes
d)
4.3 Computers
99.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number c of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
100.
Set up this proportion: Vito uses 9 liters of water to water 24 flower pots. He is wondering how many liters of water (w), it would take to water 40 flower pots. He assumes he'll use the same amount of water on each pot.
a)
9/40 = x/24
b)
9/24 = x/40
c)
24/9 = x/40
101.
Solve the following proportion: Vito uses 9 liters of water to water 24 flower pots. He is wondering how many liters of water (w), it would take to water 40 flower pots. He assumes he'll use the same amount of water on each pot.
a)
15 liters
b)
5.4 liters
c)
106.7 liters
d)
50 liters
102.
Madeline ran 21.7 miles in 7 hours. What is the unit rate? 
a)
21.7 miles per hour
b)
3.1 miles per hour
c)
.32 miles per hour
d)
21.7
7
103.
There are 4 lemon trees for every 5 orange trees. If there are 120 trees in the orchard, how many of them are lemon trees?
a)
96
b)
53
c)
480
d)
116
104.
Is this a proportion? 
a)
True
b)
False
105.
James Madison University has a ratio of 4 boys to 6 girls. If there are 18,000 total students, how many boys attend James Madison University? 
a)
12,000
b)
27,000
c)
7,200
d)
45,000
106.
Cody took a trip to Europe. Upon leaving he decided to convert all of his Euros back into dollars. How many dollars did her receive if he exchanged 20 Euros at a rate of $13 to 10 Euros?
a)
$26
b)
$15.38
c)
$29
d)
$25
107.

Tell whether the ratios form a proportion.

a)

Yes

b)

No

108.

Tell whether the ratios form a proportion.

a)

Yes

b)

No

109.

Tell whether the ratios form a proportion.

a)

Yes

b)

No

110.

Tell whether the ratios form a proportion.

a)

Yes

b)

No

111.

Tell whether the ratios form a proportion.

a)

Yes

b)

No

112.

Tell whether the ratios form a proportion.

a)

Yes

b)

No

113.

Tell whether the ratios form a proportion.

a)

Yes

b)

No

114.

Tell whether the ratios form a proportion.

a)

Yes

b)

No

115.

Tell whether the ratios form a proportion.

a)

Yes

b)

No

116.

Tell whether the ratios form a proportion.

a)

Yes

b)

No

117.

Tell whether the two rates form a proportion. 7 inches in 9 hours; 42 inches in 54 hours.

a)

Yes

b)

No

118.

Tell whether the two rates form a proportion. 12 players from 21 teams; 15 players from 24 teams

a)

Yes

b)

No

119.

Tell whether the two rates form a proportion. 440 calories in 4 servings; 300 calories in 3 servings.

a)

Yes

b)

No

120.

Tell whether the two rates form a proportion. 120 units made in 5 days; 88 unites made in 4 days.

a)

Yes

b)

No

121.

Tell whether the two rates form a proportion. 66 wins in 82 games; 99 wins in 123 games.

a)

Yes

b)

No

122.

Tell whether the two rates form a proportion. 68 hits in 172 at bats; 43 hits in 123 at bats.

a)

Yes

b)

No

123.

You can do 90 sit-ups in 2 minutes. Your friend can do 135 sit-ups in 3 minutes. Do these rates form a proportion?

a)

Yes

b)

No

124.

Find the heart rates of you and your friend (heartbeat per second). Do these rates form a proportion?

a)

Yes

b)

No

125.

Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?

a)
b)
c)
d)
126.

A car travels 420 miles in 8 hours. If the car continues at the same rate, how far will it travel in 12 hours?

a)
b)
c)
d)
127.

12 ounce shampoo bottle lasts Mike 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?

a)
b)
c)
d)
128.

Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?

a)
b)
c)
d)
129.

Ms. King's P.E. class has 25 students. 16 of these students are boys. How many boys would there be if the class had 40 students?

a)
b)
c)
d)
130.

Ms. Ginsberg's second period class has 30 students. 18 of these students have an A. If Ms. Ginsberg has 80 students total, how many students are earning an A?

a)
b)
c)
d)
131.

A group of students were asked about their favorite foods. Out of the 50 students surveyed, 30 listed pizza among their favorite foods. At that rate, if 190 students were surveyed, how many would list pizza as a favorite food?

a)
b)
c)
d)
132.

During the first 72 days of a fundraiser, Krystal sold 56 subscriptions. How many subscriptions would Krystal sell in a 216 days?

a)
b)
c)
d)
133.

Danielle used 8 centimeters of tape to wrap 4 presents. How many presents did Danielle wrap if she used 30 centimeters of tape?

a)
b)
c)
d)
134.

3 meals at Jason's Deli cost $27. How much money would 12 meals cost?

a)
b)
c)
d)
135.

To make 24 ounces of hot chocolate, 6 tablespoons of cocoa are needed. Set up a proportion to solve to find how much hot chocolate is made from 144 tablespoons of cocoa. Which number goes in place of the question mark in the proportion below?

24?=x144\frac{24}{?}=\frac{x}{144}  

a)

24

b)

6

c)

144

136.

"Pablo's Macho Tacos" sells 7 burritos for every 9 tacos sold. If they sell 63 burritos, how many tacos do they sell?

Which proportion represents the situation?

a)

79=63t\frac{7}{9}=\frac{63}{t}

b)

97=63t\frac{9}{7}=\frac{63}{t}

c)

639=t7\frac{63}{9}=\frac{t}{7}

d)

89=67y\frac{8}{9}=\frac{67}{y}

137.

There are Aspens 12 and 16 Ponderosa Pines. If there are 12 Ponderosa Pines, how many Aspens are there?


What is the proportion that can be used to represent the cone sales?

a)

1216=12a\frac{12}{16}=\frac{12}{a}

b)

2416=16p\frac{24}{16}=\frac{16}{p}

c)

1612=16a\frac{16}{12}=\frac{16}{a}

d)


1216=a12\frac{12}{16}=\frac{a}{12}

138.

54 pounds of gummy bears cost $450. How many pounds of bears can you get for $50?


What is the proportion that can be used to represent the cone sales?

a)

45054=p50\frac{450}{54}=\frac{p}{50}

b)


54450=p50\frac{54}{450}=\frac{p}{50}

c)

83250=p50\frac{83}{250}=\frac{p}{50}

139.

If the average teenager complains about 13 things every four minutes, how many things will he or she complain about in 24 minutes?


What is the proportion that can be used to represent the cone sales?

a)

413=c24\frac{4}{13}=\frac{c}{24}

b)

134=24c\frac{13}{4}=\frac{24}{c}

c)

134=c24\frac{13}{4}=\frac{c}{24}

d)

234=c85\frac{23}{4}=\frac{c}{85}

140.

Sariyah knitted 1/5 of a sweater in ½ of a month. Which proportion can be used to find how long it will take her to knit a whole sweater?

a)

12month15sweater= x1\frac{\frac{1}{2}month}{\frac{1}{5}sweater}=\ \frac{x}{1}  

b)

15sweater12month= 1x\frac{\frac{1}{5}sweater}{\frac{1}{2}month}=\ \frac{1}{x}  

141.

Craig ate 23\frac{2}{3} of a bag of Takis in 15\frac{1}{5} of an hour. Which proportion can be used to find how long will it take him to eat 6236\frac{2}{3}  bags of Takis if he continues to eat at this rate?

a)

23bags15 hour =  623bagsx hours\frac{\frac{2}{3}bags}{\frac{1}{5}\ hour}\ =\ \ \frac{6\frac{2}{3}bags}{x\ hours}  

b)

23bags15 hour =  x bags623 hours\frac{\frac{2}{3}bags}{\frac{1}{5}\ hour}\ =\ \ \frac{x\ bags}{6\frac{2}{3}\ hours}  

142.

What does the phrase "... per hour" mean?

a)

one hour

b)

x hours

c)

any number of hours

143.

On Monday, the Dairy Barn sold 14 waffle cones for every 6 sugar cones. On Tuesday, the Dairy Barn sold 7 waffle cones for every 3 sugar cones.



What is the proportion that can be used to represent the cone sales?

a)

614=37\frac{6}{14}=\frac{3}{7}

b)

143=37\frac{14}{3}=\frac{3}{7}

c)

146=37\frac{14}{6}=\frac{3}{7}

d)

67=143\frac{6}{7}=\frac{14}{3}

144.

Two fractions that are equal to each other are considered to be a

a)

proportion

b)

ratio

c)

fraction

d)

coincidence